Range clipping is a separate checked contract from in-range ADC coding. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Over-range input clips to the max code

Input 10 volts clips to 8 volts and code 7.

10 V8 V,code=710\ \text{V}\rightarrow 8\ \text{V},\quad \text{code}=7
High clippingThe high clipped status is checked.clipped high

The upper endpoint also routes through clipping

The half-open ADC range rejects input exactly at 8 volts, so the clip rule assigns max code.

8 Vcode 78\ \text{V}\rightarrow \text{code }7
Upper endpointThe endpoint is high-clipped, not in-range ADC-coded.clipped high

Under-range input clips to code zero

Input negative 1 volt clips to 0 volts and code 0.

1 V0 V,code=0-1\ \text{V}\rightarrow 0\ \text{V},\quad \text{code}=0
Low clippingLow clipping is checked separately from high clipping.clipped low